Pith Number

pith:TP3ZEGFH

pith:2006:TP3ZEGFHN3OAEQWAGNKGSMXRHT

not attested not anchored not stored refs pending

From exact-WKB toward singular quantum perturbation theory II

Andr\'e Voros

arxiv:math-ph/0603043 v1 · 2006-03-17 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TP3ZEGFHN3OAEQWAGNKGSMXRHT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:42:46.188381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bf79218a76edc0242c033546932f13ceb5d48fd46698adf42a86a2202c5a625

Aliases

arxiv: math-ph/0603043 · arxiv_version: math-ph/0603043v1 · doi: 10.48550/arxiv.math-ph/0603043 · pith_short_12: TP3ZEGFHN3OA · pith_short_16: TP3ZEGFHN3OAEQWA · pith_short_8: TP3ZEGFH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TP3ZEGFHN3OAEQWAGNKGSMXRHT \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9bf79218a76edc0242c033546932f13ceb5d48fd46698adf42a86a2202c5a625

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f13ef6818fef79b821122c1cc63cc9249a608bc4081b0a623b3b884efe8ca091",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-03-17T10:40:35Z",
    "title_canon_sha256": "9f304ed1a82644ca7c6d21ca1f0f52762a17a855b3ac41487fcab430536f6bcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0603043",
    "kind": "arxiv",
    "version": 1
  }
}